# Excursions in advanced euclidean geometry

作者： Alfred S Posamentier Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984. 打印圖書 : 英語 : Rev. ed所有版本和格式的總覽 WorldCat (尚未評分) 0 附有評論 - 成爲第一個。

## 詳細書目

其他的實體格式： Online version:Posamentier, Alfred S.Excursions in advanced euclidean geometry.Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984(OCoLC)622070686 圖書 Alfred S Posamentier 查詢更多有關資訊： Alfred S Posamentier 0201203596 9780201203592 10850901 vi, 170 pages : illustrations ; 28 cm Introduction -- 1. Elementary Euclidean geometry revisited -- Review of basic concepts of geometry -- Exercises -- 2. Concurrency of lines in a triangle -- Ceva's theorem -- Applications of Ceva's theorem -- The Gergonne point -- Exercises -- 3. Collinearity of points -- Duality -- Menelaus' theorem -- Applications of Menelaus' theorem -- Desargues' theorem -- Pascal's theorem -- Variation on Pascal's theorem -- Brianchon's theorem -- Pappus' theorem -- The Simson line -- Radical axis -- Exercises -- 4. Some symmetric points in a triangle -- Equiangular point -- A property of equilateral triangles -- A minimum distance point -- Exercises -- 5. More triangle properties -- Angle bisectors -- Stewart's theorem -- Miquel's theorem -- Medians -- Exercises -- 6. Quadrilaterals -- Centroid of a quadrilateral -- Cyclic quadrilaterals -- Ptolemy's theorem -- Exercises -- 7. Equicircles -- Exercises -- 8. The nine point circle -- Altitudes -- The nine point circle revisited -- Exercises -- 9. The golden section and Fibonacci numbers -- The golden ratio -- Fibonacci numbers -- Lucas numbers -- Fibonacci and Lucas numbers in geometry -- The Golden rectangle revisited -- The golden triangle -- Exercises. Alfred S. Posamentier.

## 標籤

### 所有的讀者標籤 (2)

• geometry  (白俄羅斯（Belarus） 1 個人)
• mathematics  (白俄羅斯（Belarus） 1 個人)

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